Publications of Sara Grundel
All genres
Journal Article (20)
2024
Journal Article
Grundel, S. & Sarna, N. (2024)Hyper-Reduction for Parametrized Transport Dominated Problems via Adaptive Reduced MeshesPartial Differential Equations and Applications, 5 (1), 3doi: 10.1007/s42985-023-00270-y.
2023
Journal Article
Grundel, S., , , Benner, P., & (2023)Twice Weekly Polymerase Chain Reaction (PCR) Surveillance Swabs are not as Effective as Daily Antigen Testing for Containment of SARS-CoV-2 Outbreaks: A Modeling Study Based on Real World Data from a Child and Adolescent Psychiatry ClinicInfection Control & Hospital Epidemiology, 44 (12), 1987–1994doi: 10.1017/ice.2023.94.
Journal Article
Grundel, S. & (2023)Model-Order Reduction for Hyperbolic Relaxation SystemsInternational Journal of Nonlinear Sciences and Numerical Simulation, 24 (7), 2763–2780doi: 10.1515/ijnsns-2021-0192.
2022
Journal Article
Banagaaya, N., , Grundel, S., & Benner, P. (2022)Index-Aware Model-Order Reduction for a Special Class of Nonlinear Differential-Algebraic EquationsJournal of Dynamics and Differential Equations, 34, 2465–2489doi: 10.1007/s10884-021-10063-9.
Journal Article
Grundel, S. & (2022)Hyperbolic Discretization of Simplified Euler Equation via Riemann InvariantsApplied Mathematical Modelling, 106, 60–72doi: 10.1016/j.apm.2022.01.006.
Journal Article
Grundel, S., , , Ritschel, T. K. S., , & (2022)How much testing and social distancing is required to control COVID-19? Some insight based on an age-differentiated compartmental modelSIAM Journal on Control and Optimization, 60 (2), S145–S169doi: 10.1137/20M1377783.
2021
Journal Article
Grundel, S., , , Ritschel, T. K. S., , & (2021)How to coordinate Vaccination and Social Distancing to mitigate SARS-CoV-2 OutbreaksSIAM journal on applied dynamical systems, 20 (2), 1135–1157doi: 10.1137/20M1387687.
Journal Article
Himpe, C., Grundel, S., & Benner, P. (2021)Model Order Reduction for Gas and Energy NetworksJournal of Mathematics in Industry, 11, 13, 46 pagesdoi: 10.1186/s13362-021-00109-4.
2020
Journal Article
Pontes Duff, I., Grundel, S., & Benner, P. (2020)New Gramians for Linear Switched Systems: Reachability, Observability, and Model ReductionIEEE Transactions on Automatic Control, 65 (6), 2526–2535doi: 10.1109/TAC.2019.2934020.
Journal Article
Qiu, Y., Grundel, S., , & Benner, P. (2020)Efficient Numerical Methods for Gas Network Modeling and SimulationNetworks & Heterogeneous Media, 15 (4), 653–679doi: 10.3934/nhm.2020018.
Journal Article
Ritschel, T. K. S., Weiß, F., Baumann, M., & Grundel, S. (2020)Nonlinear Model Reduction of Dynamical Power Grid Models using Quadratization and Balanced Truncationat - Automatisierungstechnik, 68 (12), 1022–1034doi: 10.1515/auto-2020-0070.
2019
Journal Article
Baumann, M., Grundel, S., , & (2019)Surrogate Models in Bidirectional Optimization of Coupled Microgridsat-Automatisierungstechnik, 67 (12), 1035–1046doi: 10.1515/auto-2019-0075.
2018
Journal Article
, Mlinarić, P., Grundel, S., Benner, P., & (2018)Model Reduction of Linear Multi-Agent Systems by Clustering and with H2- and H∞-Error BoundsMathematics of Control, Signals, and Systems, 30 (1), 28 pages, 1 figuredoi: 10.1007/s00498-018-0212-6.
2017
Journal Article
, Grundel, S., & (2017)A Flexible C2 Subdivision Scheme on the Sphere: With Application to Biomembrane ModellingSIAM Journal on Applied Algebra and Geometry, 1 (1), 459–483doi: 10.1137/16M1076794.
Journal Article
, Grundel, S., , & (2017)Polynomial Root Radius Optimization with Affine ConstraintsMathematical Programming / A, 165 (2), 509–528doi: 10.1007/s10107-016-1092-5.
2015
Journal Article
Benner, P. & Grundel, S. (2015)Model Order Reduction for a Family of Linear Systems with Application in Parametric and Uncertain SystemsApplied Mathematics Letters, 39, 1–6doi: 10.1016/j.aml.2014.08.002.
Journal Article
Benner, P., Grundel, S., & (2015)Parametric Model Order Reduction with a Small H2-Error Using Radial Basis FunctionsAdvances in Computational Mathematics, 41 (5), 1231–1253doi: 10.1007/s10444-015-9410-7.
Journal Article
, Grundel, S., & (2015)Smoothness of Subdivision Surfaces with BoundaryConstructive Approximation, 42 (1), 1–29doi: 10.1007/s00365-015-9292-4.
Journal Article
Hess, M. W., Grundel, S., & Benner, P. (2015)Estimating the Inf-Sup Constant in Reduced Basis Methods for Time-Harmonic Maxwell's EquationsIEEE Transactions on Microwave Theory and Techniques, 63 (11), 3549–3557 doi: 10.1109/TMTT.2015.2473157.
2014
Journal Article
Grundel, S. & (2014)Variational Analysis of the Spectral Abscissa at a Matrix with a Nongeneric Multiple EigenvalueSet-Valued and Variational Analysis, 22 (1), 19–43doi: 10.1007/s11228-013-0234-7.